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Finding the Fourth Proportional to 1,735.56, 2,599.56 and 1,405.08

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Solution

The fourth proportional to 1,735.56, 2,599.56 and 1,405.08 is: 2,104.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.56 : 2,599.56 = 1,405.08 : x
  2. Step 2: Convert to fraction form
    1,735.56/2,599.56 = 1,405.08/x
  3. Step 3: Cross multiply
    1,735.56x = 2,599.56 × 1,405.08
  4. Step 4: Simplify right side
    1,735.56x = 3,652,589.76
  5. Step 5: Solve for x
    x = 3,652,589.76/1,735.56
  6. Step 6: Final answer
    x = 2,104.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.